Finite Group DatabasebetaFinite Group DatabasebetaOrder 25408.
188 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 188 conjugacy classes of subgroups — too many to draw. Only its 51 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#20263719 | C2 | semidirect |
| 2. #27163075 | C2 | semidirect |
| 3. #27163017 | C2 | semidirect |
| 4. C22⋊#15691787 | C2 | semidirect |
| 6. C2×Dic794 | C22 | semidirect |
| 8. C2×#15691787 | C22 | semidirect |
| 9. C4⋊Dic397 | C22 | semidirect |
| 38. C22×C397 | SD16 | semidirect |
| 49. C397 | #450 | semidirect |
| 88. C22 | #20263719 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20263719 | 2 |
| #27163075 | 2 |
| #27163017 | 2 |
| C22⋊#15691787 | 2 |
| C22×D4×C397 | 2 |
| #450 | 397 |